Упростить:
[tex]\sqrt{2+\sqrt{9+4\sqrt{2}}}[/tex]
√(2+√(9+4√2)) = √(2+√(8+2√8 +1)) = √(2+(√8+1)) = √(2+2√2+1) = √2+1;
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Verified answer
√(2+√(9+4√2)) = √(2+√(8+2√8 +1)) = √(2+(√8+1)) = √(2+2√2+1) = √2+1;